基于一维线性控制律的FitzHugh-Nagumo反应扩散系统同步

IF 1.2 4区计算机科学 Q4 AUTOMATION & CONTROL SYSTEMS Archives of Control Sciences Pub Date : 2023-07-20 DOI:10.24425/acs.2021.137421

A. Ouannas, Fatiha Mesdoui, S. Momani, I. Batiha, G. Grassi

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引用次数: 5

摘要

Fitzhugh-Nagumo模型(FN模型)成功地用于模拟所谓的膜电位的功能，它在神经元网络中表现出多种形式和丰富的复杂动力学。本文研究了FN反应扩散模型的控制与同步问题。本文提出的控制律被设计为一维线性律，以降低实施成本。为了解析地证明这一论断，利用了李亚普诺夫的第二种方法，并在一维和/或二维空间中进行了数值说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Synchronization of FitzHugh-Nagumo reaction-diffusion systems via one-dimensional linear control law

The Fitzhugh-Nagumo model (FN model), which is successfully employed in modeling the function of the so-called membrane potential, exhibits various formations in neuronal networks and rich complex dynamics. This work deals with the problem of control and synchronization of the FN reaction-diﬀusion model. The proposed control law in this study is designed to be uni-dimensional and linear law for the purpose of reducing the cost of implementation. In order to analytically prove this assertion, Lyapunov’s second method is utilized and illustrated numerically in one-and/or two-spatial dimensions.

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来源期刊

Archives of Control Sciences Mathematics-Modeling and Simulation

CiteScore

2.40

自引率

33.30%

发文量

审稿时长

14 weeks

期刊介绍： Archives of Control Sciences welcomes for consideration papers on topics of significance in broadly understood control science and related areas, including: basic control theory, optimal control, optimization methods, control of complex systems, mathematical modeling of dynamic and control systems, expert and decision support systems and diverse methods of knowledge modelling and representing uncertainty (by stochastic, set-valued, fuzzy or rough set methods, etc.), robotics and flexible manufacturing systems. Related areas that are covered include information technology, parallel and distributed computations, neural networks and mathematical biomedicine, mathematical economics, applied game theory, financial engineering, business informatics and other similar fields.